Some say it's just an ugly stereotype, but as with many stereotypes, it has its roots in truth: many Jewish people have big noses.
Now, having a big nose might not exactly be aesthetically pleasing, but it's not all bad. You're always the first to know when something is burning. You have an instant leg up to star in a local production of "Cyrano de Bergerac". Nose hairs are definitely easier to pluck. We'll let you know if there are any others.
But let's say you're not exactly fond of a large schnoz. Understandable. Maybe early fire detection is not your thing. Then there is a way out — rhinoplasty. You visit your local plastic surgeon, snip, snip, and voila — a ginormous monstrosity is trimmed into a passable alternative.
And who was the first doctor to perform rhinoplasty? Well, a Jew, of course! Jacques Joseph, born Jakob Joseph, who beautified many noses of Berlin's Jewish community in the early 20th century. Was he also a client? The record is unclear.
Now, if we could only treat the "Jews are short" stereotype so easily...